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学术报告[2025] 109号
(高水平大学建设系列报告1211号)
报告题目: Harmonic Analysis of Multiplicative Chaos
报告人:邱彦奇 研究员(国科大杭州高等研究院)
报告时间:2025年 11月 9日 下午16:30-17:30
报告地点:汇文楼办公区1413
报告摘要:I will introduce a general method in dealing with Fourier decay of random measures arising from Kahane's T-martingale theory, thus including Mandelbrot Cascades (canonical or microcanonical), Gaussian Multiplicative Chaos, Random Coverings and more abstract ones. This very new method is a combination of many fundamental vector-valued martingale inequalities such as Pisier's martingale type inequality, Burkholder-Rosenthal inequality, Bourgain-Stein inequality etc and also an idea which seems to related to the decoupling method in harmonic analysis. The talk is based on joint works with Xinxin Chen, Yong Han, Zipeng Wang, and with Zhaofeng Lin, Mingjie Tan, as well as with Yukun Chen, Zhaofeng Lin.
报告人简介: 邱彦奇,国科大杭州高等研究院研究员。研究方向为概率论,遍历理论,随机矩阵,调和分析,泛函分析等。
欢迎师生参加!
邀请人:韩勇
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2025年11月5日